Cristiano Ronaldo opened the scoring for Madrid as he chipped home Mesut Ozil's through ball after just 9 minutes.
Karim Benzema silenced his critics with a well taken effort at the half-hour mark.
Wesley Sneijder was a bitter disappointment for the Turkish side and was substituted at half-time.
The tie was virtually killed off 17 minutes from time after substitute Gonzalo Higuain headed home Xabi Alonso's free-kick.
It was a night of contrasting fortunes for Ronaldo and Didier Drogba, with the Ivory Coast striker unable to influence the game.
Borussia Dortmund were left to rue a host of missed chances as the quarter-final first leg against Malaga at La Rosaleda ended in a 0-0 draw.
Dortmund remain the only unbeaten team in the Champions League this season, while Malaga extended their unbeaten home record in Europe to 14 games.
There's one of the Little Master's Records Kohli could break soon.
Durga Puja pandal near Kolkata turns into cricket stadium in tribute to the Little Master.
AIBA official says Indian boxer's refusal to accept Asian Games bronze seemed planned.
Star Indian boxer wins maiden Asian Games medal.
Real Madrid boss says Ronaldo's the best he has ever coached.
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